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  • Puzzle - 123456789 = 100 with three operations? - Mathematics Stack . . .
    Given the sequence 123456789: You can insert three operations ($+$,$-$,$\\times$,$ $) into this sequence to make the equation = 100 My question is: is there a way to solve this without brute forc
  • binary - Is it an overflow or not? - Mathematics Stack Exchange
    1101 + 0100 = 0001 is an overflow if it is a wrong answer and not an overflow if it is a correct answer If these are unsigned binary numbers then 13+4=1 is wrong, so there is an overflow In fact, with unsigned binary, a carry out is always an overflow But you have specified 2s-complement binary
  • How can I convert 2s complement to decimal?
    Suppose I have the 2's complement, negative number 1111 1111 1011 0101 (0xFFBB5) How can I represent this as a decimal number in base 10?
  • Odd and even numbers in binary system - Mathematics Stack Exchange
    Actually here is a basic question, but I have a little problem about it In binary system, for any number such as $1011001$, can we say directly quot;it is end with $1$, so it is an odd number quo
  • Convert hexadecimal numbers to floating-point format using single . . .
    I need help with converting hexadecimal numbers to floating-point format using single-precision IEEE 754 format Hex numbers such as 312A how do I go about converting it? I know how to convert f
  • Finding Prime Implicants and Essential Prime Implicants for Boolean . . .
    Your Karnaugh map is correct You circled 0100 and 0110 This corresponds to the prime implicant ¯ W X ¯ Z, which is essential since it is the only prime implicant that covers 0100 You circled 1000 and 1010 This corresponds to the prime implicant W ¯ X ¯ Z, which is essential since it is the only prime implicant that covers 1000 You circled 0001 This corresponds to the prime implicant
  • How is a Generator Matrix for a (7, 4) Hamming code created?
    Your parity check equations seems to be x5 = x1 + x2 + x3 x6 = x2 + x3 + x4 x7 = x1 + x2 + x4 Normally, this parity check is given if you have to construct the generator matrix G G always starts with the identity matrix 1000 0100 0010 0001 and the last couple digits are found based on the parity check equation
  • How to actually use Excess-N representation in binaries
    The string '0100' (which is 4 in unsigned binary) represents 4 - 3 = 1 It's quite common to see excess-N notation when denoting the exponent of a floating point numbers For example, 32-bit floating point numbers often use 8 bits in excess-127 notation to represent the exponent
  • linear algebra - How to quickly check if vectors are an orthonormal . . .
    Let's say we got 3 3 vectors given and we need to check if they are an orthonormal basis of some vector space How would that be done quickly? I have read on several sites on the Internet and here is my summary, correct me if I'm wrong please: All vectors need to be linearly independent Vectors are perpendicular aka orthogonal to each other (if 3 3 vectors given, I have to do it as pairs of 2





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